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Finding the Fourth Proportional to 1,408.59, 1,940.72 and 1,277.55

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Solution

The fourth proportional to 1,408.59, 1,940.72 and 1,277.55 is: 1,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.59 : 1,940.72 = 1,277.55 : x
  2. Step 2: Convert to fraction form
    1,408.59/1,940.72 = 1,277.55/x
  3. Step 3: Cross multiply
    1,408.59x = 1,940.72 × 1,277.55
  4. Step 4: Simplify right side
    1,408.59x = 2,479,360.45
  5. Step 5: Solve for x
    x = 2,479,360.45/1,408.59
  6. Step 6: Final answer
    x = 1,760.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.